| Exam Board | Edexcel |
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| Module | F1 (Further Pure Mathematics 1) |
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| Year | 2015 |
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| Session | January |
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| Topic | Roots of polynomials |
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1.
$$f ( x ) = x ^ { 4 } - x ^ { 3 } - 9 x ^ { 2 } + 29 x - 60$$
Given that \(x = 1 + 2 \mathrm { i }\) is a root of the equation \(\mathrm { f } ( x ) = 0\), use algebra to find the three other roots of the equation \(\mathrm { f } ( x ) = 0\)